Alternative fidelity measure between quantum states
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.78.052330 http://hdl.handle.net/11449/225347 |
Resumo: | We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established. © 2008 The American Physical Society. |
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Alternative fidelity measure between quantum statesDegree of similaritiesHilbertInner productsLinear entropiesMonotonicallyQuantum operationsQuantum statesQubit statesWe propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established. © 2008 The American Physical Society.Department of Physics University of Queensland, QLD 4072Instituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369, 13560-970, São Carlos, SPInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SPSchool of Physics University of Sydney, NSW 2006Instituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SPUniversity of QueenslandUniversidade de São Paulo (USP)Universidade Estadual Paulista (UNESP)University of SydneyMendonça, Paulo E. M. F.Napolitano, Reginaldo D. J.Marchiolli, Marcelo A. [UNESP]Foster, Christopher J.Liang, Yeong-Cherng2022-04-28T20:46:39Z2022-04-28T20:46:39Z2008-11-19info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevA.78.052330Physical Review A - Atomic, Molecular, and Optical Physics, v. 78, n. 5, 2008.1050-29471094-1622http://hdl.handle.net/11449/22534710.1103/PhysRevA.78.0523302-s2.0-56849089768Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review A - Atomic, Molecular, and Optical Physicsinfo:eu-repo/semantics/openAccess2022-04-28T20:46:39Zoai:repositorio.unesp.br:11449/225347Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:18:25.510950Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Alternative fidelity measure between quantum states |
title |
Alternative fidelity measure between quantum states |
spellingShingle |
Alternative fidelity measure between quantum states Mendonça, Paulo E. M. F. Degree of similarities Hilbert Inner products Linear entropies Monotonically Quantum operations Quantum states Qubit states |
title_short |
Alternative fidelity measure between quantum states |
title_full |
Alternative fidelity measure between quantum states |
title_fullStr |
Alternative fidelity measure between quantum states |
title_full_unstemmed |
Alternative fidelity measure between quantum states |
title_sort |
Alternative fidelity measure between quantum states |
author |
Mendonça, Paulo E. M. F. |
author_facet |
Mendonça, Paulo E. M. F. Napolitano, Reginaldo D. J. Marchiolli, Marcelo A. [UNESP] Foster, Christopher J. Liang, Yeong-Cherng |
author_role |
author |
author2 |
Napolitano, Reginaldo D. J. Marchiolli, Marcelo A. [UNESP] Foster, Christopher J. Liang, Yeong-Cherng |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
University of Queensland Universidade de São Paulo (USP) Universidade Estadual Paulista (UNESP) University of Sydney |
dc.contributor.author.fl_str_mv |
Mendonça, Paulo E. M. F. Napolitano, Reginaldo D. J. Marchiolli, Marcelo A. [UNESP] Foster, Christopher J. Liang, Yeong-Cherng |
dc.subject.por.fl_str_mv |
Degree of similarities Hilbert Inner products Linear entropies Monotonically Quantum operations Quantum states Qubit states |
topic |
Degree of similarities Hilbert Inner products Linear entropies Monotonically Quantum operations Quantum states Qubit states |
description |
We propose an alternative fidelity measure (namely, a measure of the degree of similarity) between quantum states and benchmark it against a number of properties of the standard Uhlmann-Jozsa fidelity. This measure is a simple function of the linear entropy and the Hilbert-Schmidt inner product between the given states and is thus, in comparison, not as computationally demanding. It also features several remarkable properties such as being jointly concave and satisfying all of Jozsa's axioms. The trade-off, however, is that it is supermultiplicative and does not behave monotonically under quantum operations. In addition, metrics for the space of density matrices are identified and the joint concavity of the Uhlmann-Jozsa fidelity for qubit states is established. © 2008 The American Physical Society. |
publishDate |
2008 |
dc.date.none.fl_str_mv |
2008-11-19 2022-04-28T20:46:39Z 2022-04-28T20:46:39Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.78.052330 Physical Review A - Atomic, Molecular, and Optical Physics, v. 78, n. 5, 2008. 1050-2947 1094-1622 http://hdl.handle.net/11449/225347 10.1103/PhysRevA.78.052330 2-s2.0-56849089768 |
url |
http://dx.doi.org/10.1103/PhysRevA.78.052330 http://hdl.handle.net/11449/225347 |
identifier_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics, v. 78, n. 5, 2008. 1050-2947 1094-1622 10.1103/PhysRevA.78.052330 2-s2.0-56849089768 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A - Atomic, Molecular, and Optical Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129186421800960 |